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Finding the Fourth Proportional to 409,900.80, 614,523.15 and 173,048.70

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Solution

The fourth proportional to 409,900.80, 614,523.15 and 173,048.70 is: 259,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900.80 : 614,523.15 = 173,048.70 : x
  2. Step 2: Convert to fraction form
    409,900.80/614,523.15 = 173,048.70/x
  3. Step 3: Cross multiply
    409,900.80x = 614,523.15 × 173,048.70
  4. Step 4: Simplify right side
    409,900.80x = 106,342,432,227.41
  5. Step 5: Solve for x
    x = 106,342,432,227.41/409,900.80
  6. Step 6: Final answer
    x = 259,434.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.